A Newman-Penrose calculator for instanton metrics

Tolga Birkandan

doi:10.1142/S0129183108012807

A Newman-Penrose calculator for instanton metrics

Tolga Birkandan^*

^*Corresponding author for this work

Department of Physics Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We present a Maple11+GRTensorII based symbolic calculator for instanton metrics using NewmanPenrose formalism. Gravitational instantons are exact solutions of Einstein's vacuum field equations with Euclidean signature. The NewmanPenrose formalism, which supplies a toolbox for studying the exact solutions of Einstein's field equations, was adopted to the instanton case and our code translates it for the computational use.

Original language	English
Pages (from-to)	1277-1290
Number of pages	14
Journal	International Journal of Modern Physics C
Volume	19
Issue number	8
DOIs	https://doi.org/10.1142/S0129183108012807
Publication status	Published - Aug 2008

Keywords

Gravitational instantons
Newman-Penrose formalism
Symbolic computation

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10.1142/S0129183108012807

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title = "A Newman-Penrose calculator for instanton metrics",

abstract = "We present a Maple11+GRTensorII based symbolic calculator for instanton metrics using NewmanPenrose formalism. Gravitational instantons are exact solutions of Einstein's vacuum field equations with Euclidean signature. The NewmanPenrose formalism, which supplies a toolbox for studying the exact solutions of Einstein's field equations, was adopted to the instanton case and our code translates it for the computational use.",

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AB - We present a Maple11+GRTensorII based symbolic calculator for instanton metrics using NewmanPenrose formalism. Gravitational instantons are exact solutions of Einstein's vacuum field equations with Euclidean signature. The NewmanPenrose formalism, which supplies a toolbox for studying the exact solutions of Einstein's field equations, was adopted to the instanton case and our code translates it for the computational use.

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KW - Newman-Penrose formalism

KW - Symbolic computation

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A Newman-Penrose calculator for instanton metrics

Abstract

Keywords

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